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xeze [42]
1 year ago
12

A rectangular prism has a length that is 3 inches shorter than the height and a width that is 5 inches longer than the height. F

ill in the blanks to create an equation for the volume of the prism as a function of the height.
Mathematics
1 answer:
LUCKY_DIMON [66]1 year ago
5 0

An equation for the volume of the prism as a function of the height is Volume = h³ + 2h² - 15h.

  • We are given a rectangular prism.
  • A rectangular prism is no different than a cuboid.
  • Let the height of the rectangular prism be "h".
  • The length of the rectangular prism is "h-3".
  • The width of the rectangular prism is "h+5".
  • The volume of the rectangular prism is the same as that of the cuboid.
  • The volume of the rectangular prism is the product of its length, its width, and its height.
  • The volume of the rectangular prism is (h - 3)*(h + 5)*h.
  • An equation for the volume of the prism as a function of the height is :
  • Volume = (h - 3)*(h + 5)*h
  • Volume = (h² + 2h - 15)*h
  • Volume = h³ + 2h² - 15h

To learn more about prism, visit :

brainly.com/question/12649592

#SPJ1

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Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = 0.8\times175000 = $140000

20% of 175000 is = 0.2\times175000 = $35000

Emi formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 30*12=360

Putting values in formula we get

\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 30*12=360

Putting values in formula we get

\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }

= $245.301

Adding both the monthly payments:

729.508+245.301=974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

975.63\times12\times30=351226.80 dollars

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4 years ago
Write an equation of the line in slope intercept form that pass through the two
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\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
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&({{ -2}}\quad ,&{{ 15}})\quad 
%   (c,d)
&({{ 9}}\quad ,&{{ -18}})
\end{array}
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slope = {{ m}}= \cfrac{rise}{run} \implies 
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A wood board 156 centimeters long is cut into three parts .The two longer parts are the same length and are 15 centimeters longe
n200080 [17]
The everyone of two longer parts has 57 cm length and the shortest part has 42 cm length.
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4 years ago
A woman is walking at the rate of 90 yards per minute. How fast is she going in feet per second?
motikmotik

Answer:

She is going at the rate of 4.5 feet per second.

Step-by-step explanation:

Given:

The rate of walking is 90 yards per minute.

Now, to find the rate in feet per second.

1 yard = 3 foot.

1 minute = 60 seconds.

So, first we find the rate of walking per second in yard = 90\div 60

Therefore by dividing we get = 1.5 yard

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So, by multiplying we get = 4.5 feet

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